/ 02 01 07 9 v 1 1 8 Ja n 20 02 All Entanglements in a Multiparticle State
نویسنده
چکیده
We formalize concepts such as generalized party and generalized local operation, and consider all possible entanglements possessed by a multiparticle state. It is pointed out that local operations and classical communication is a fixed point under any partition. Some general propositions are obtained as consequences of the principle that the entanglement among all the particles is not increased by local operations and classical communication as defined for all these particles. Then generalizations of entanglement measures are proposed. We note that for more than two parties, all kinds of GHZ-like states do not furnish a reversible entanglement generating set under local operations and classical communication. Our discussion indicates that a so-called true N -particle entanglement in a N -particle state is just an entanglement involving all the N particles, for any partition. PACS numbers: 03.65.Ud, 03.67.-a Typeset using REVTEX
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